What is the Greatest Common Factor of 72855 and 72870?

Greatest common factor (GCF) of 72855 and 72870 is 15.

GCF(72855,72870) = 15

We will now calculate the prime factors of 72855 and 72870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72855 and 72870.

How to find the GCF of 72855 and 72870?

We will first find the prime factorization of 72855 and 72870. After we will calculate the factors of 72855 and 72870 and find the biggest common factor number .

Step-1: Prime Factorization of 72855

Prime factors of 72855 are 3, 5, 1619. Prime factorization of 72855 in exponential form is:

72855 = 3² × 5¹ × 1619¹

Step-2: Prime Factorization of 72870

Prime factors of 72870 are 2, 3, 5, 7, 347. Prime factorization of 72870 in exponential form is:

72870 = 2¹ × 3¹ × 5¹ × 7¹ × 347¹

Step-3: Factors of 72855

List of positive integer factors of 72855 that divides 72855 without a remainder.

1, 3, 5, 9, 15, 45, 1619, 4857, 8095, 14571, 24285

Step-4: Factors of 72870

List of positive integer factors of 72870 that divides 72855 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 347, 694, 1041, 1735, 2082, 2429, 3470, 4858, 5205, 7287, 10410, 12145, 14574, 24290, 36435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72855 and 72870. The biggest common factor number is the GCF number.
So the greatest common factor 72855 and 72870 is 15.

Also check out the Least Common Multiple of 72855 and 72870